Cycle Representations of Markov Processes

• Main Author: Kalpazidou, Sophia L. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2006.
• Edition: Second Edition.
• Series: Stochastic Modelling and Applied Probability, 28
• Subjects: Mathematics.; Probabilities.; Probability Theory and Stochastic Processes.

Table of Contents:

• Fundamentals of the Cycle Representations of Markov Processes
• Directed Circuits
• Genesis of Markov Chains by Circuits: The Circuit Chains
• Cycle Representations of Recurrent Denumerable Markov Chains
• Circuit Representations of Finite Recurrent Markov Chains
• Continuous Parameter Circuit Processes with Finite State Space
• Spectral Theory of Circuit Processes
• Higher-Order Circuit Processes
• Cycloid Markov Processes
• Markov Processes on Banach Spaces on Cycles
• The Cycle Measures
• Wide-Ranging Interpretations of the Cycle Representations of Markov Processes
• Applications of the Cycle Representations
• Stochastic Properties in Terms of Circuits
• Lévy’s Theorem Concerning Positiveness of Transition Probabilities
• The Rotational Theory of Markov Processes.